Geodesic
Functional compression-expansion fixed point theorem
Electronic journal of differential equations, Tome 2008 (2008)
This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.
Classification : 47H10
Keywords: fixed-point theorems, cone, positive solutions, multivalued maps 
@article{EJDE_2008__2008__a22,
     author = {Avery,  Richard and Henderson,  Johnny and O'Regan,  Donal},
     title = {Functional compression-expansion fixed point theorem},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1149.47042},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a22/}
}
TY  - JOUR
AU  - Avery,  Richard
AU  - Henderson,  Johnny
AU  - O'Regan,  Donal
TI  - Functional compression-expansion fixed point theorem
JO  - Electronic journal of differential equations
PY  - 2008
VL  - 2008
UR  - http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a22/
LA  - en
ID  - EJDE_2008__2008__a22
ER  - 
%0 Journal Article
%A Avery,  Richard
%A Henderson,  Johnny
%A O'Regan,  Donal
%T Functional compression-expansion fixed point theorem
%J Electronic journal of differential equations
%D 2008
%V 2008
%U http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a22/
%G en
%F EJDE_2008__2008__a22
Avery,  Richard; Henderson,  Johnny; O'Regan,  Donal. Functional compression-expansion fixed point theorem. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a22/